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Finding the Third Proportional to 236,439 and 353,824

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Solution

The third proportional to 236,439 and 353,824 is: 529,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,439 : 353,824 = 353,824 : x
  2. Step 2: Convert to fraction form
    236,439/353,824 = 353,824/x
  3. Step 3: Cross multiply
    236,439x = 353,824 × 353,824
  4. Step 4: Simplify right side
    236,439x = 125,191,422,976
  5. Step 5: Solve for x
    x = 125,191,422,976/236,439
  6. Step 6: Final answer
    x = 529,487.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.